407940459948 has 192 divisors, whose sum is σ = 1323945907200. Its totient is φ = 105915479040.

The previous prime is 407940459947. The next prime is 407940460007. The reversal of 407940459948 is 849954049704.

407940459948 is a `hidden beast` number, since 4 + 0 + 7 + 94 + 0 + 459 + 94 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (407940459947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174558 + ... + 919973.

It is an arithmetic number, because the mean of its divisors is an integer number (6895551600).

Almost surely, 2^407940459948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407940459948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661972953600).

407940459948 is an abundant number, since it is smaller than the sum of its proper divisors (916005447252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

407940459948 is a wasteful number, since it uses less digits than its factorization.

407940459948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094597 (or 1094589 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 407940459948 in words is "four hundred seven billion, nine hundred forty million, four hundred fifty-nine thousand, nine hundred forty-eight".